Curry was born in 1925 in Chapleau, Ontario and raised in Montreal, Quebec. He played junior hockey with the Oshawa Generals and starred for the team. The Montreal Canadiens realized his potential and signed him. He played for the Montreal Royals before being brought up to the Canadiens.

After retiring as a player, he coached the Montreal Royals, then went on to work for the Canadiens front office for over forty years as director of sales and travel secretary. In summer of 1968 he was promoted to Assistant General manager. During the summer of 1970 Curry became the Manager-Coach of Montreal Voyageurs replacing Al MacNeil who promoted to the assistant Coach (later Coach) of the Montreal Canadiens. MacNeil was returned to Manager-Coach the Voyagers now the Nova Scotia Voyageurs in summer of 1971, after winning the Stanley Cup. Floyd Curry returned to the Canadiens as Assistant Manager. He remained in that position until 1978. He stayed on with Montreal as Director of Scouting for a couple more years. During his time in Montreal as non-player Curry was awarded Stanley Cup rings in 1969-73-76-77-78-79. Curry name was added to the cup in 1977, 1978.

He also won the Memorial Cup in 1944 with the Oshawa Generals. He died at a Montreal hospital on September 16, 2006. He was survived by his wife of 61 years, June, and his two daughters.